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Finding the Fourth Proportional to 2,111.99, 2,912.83 and 1,613.84

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Solution

The fourth proportional to 2,111.99, 2,912.83 and 1,613.84 is: 2,225.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.99 : 2,912.83 = 1,613.84 : x
  2. Step 2: Convert to fraction form
    2,111.99/2,912.83 = 1,613.84/x
  3. Step 3: Cross multiply
    2,111.99x = 2,912.83 × 1,613.84
  4. Step 4: Simplify right side
    2,111.99x = 4,700,822.97
  5. Step 5: Solve for x
    x = 4,700,822.97/2,111.99
  6. Step 6: Final answer
    x = 2,225.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.